Textbook ExpertVerified Tutor
23 Dec 2021
Given information
Given that, 
is a differentiable function and 
Step-by-step explanation
Step 1.
Let us prove the given statement:
We substituted given expression for 
We multiplied,
We rewrote the fraction.
We rewrote the limit as a sum of limits.
We extracted 
We know that , 
If 
, when 
then 
, when then We used the rule above to simplify.
is differentiable so we can substitute 
for 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 5
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 6c
- Problem 6d
- Problem 7
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 9b
- Problem 9c
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 11
- Problem 11
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 13a
- Problem 13b
- Problem 13b
- Problem 13c
- Problem 13c
- Problem 14
- Problem 15
- Problem 15
- Problem 16
- Problem 16
- Problem 17
- Problem 17